Fifth Class
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Strand Unit

Place Value

The child should be enabled to:

1. Read, write and order whole numbers and decimals
  • Examples: Number line with whole numbers only
  • Order numbers, beginning with the smallest
  • Number line with decimals
2.

Identify place value in whole numbers and decimals

  • 8,345 – value of 8? Value of 3?
  • 269.045 – value of 2? Value of 4? Value of 5?
3.

Round whole numbers to nearest ten, hundred and thousand; round decimals to nearest whole number.

  • Examples:  46 ~ 50; 389 ~ 400 ; 48.7 ~ 49

Strand Unit

Operations

1.

Estimate sums, differences, products and quotients of whole numbers.
Example:
450 x 9 = 4500
Estimate first – based on 450 x 10, then use calculator.

2. Add and subtract whole numbers and decimals (to 3 decimal places) with and without a calculator
Example 1: 56 +3.092 + 2.14
Example 2: 250 +58.004 +0.16
3. Multiply a decimal (up to 3 places) by a whole number, with and without a calculator
Example 1: 8.125 x 9
Example 2: 3.004 x 6
4. Divide a 3 digit number by a 2 digit number (with and without calculator)
Example 1: 269 – 27
Example 2: 304 -80
5. Divide a decimal number by a whole number
Example 1: 75.6 – 4
Example 2: 80.3 – 9

Strand Unit

Fractions

1. Compare and order fractions and identify equivalent forms of fractions with denominators 2 –12.
  • Make fraction wall
  • Paper folding
2. Express improper fractions as mixed numbers and vice versa and position on number line
Example 1: 22/5 = ?
Example 2: 1 8/9 = ?
3. Add simple fractions and simple mixed numbers
Example 1: ½ + 1/8 =
Example 2: 2 ¾ + 1 5/8 =
4. Subtract simple fractions and simple mixed numbers
Example 1: 6/9 – ½ 
Example 2: 3 ½ - 1 2/3
5. Multiply a fraction by a whole number
Example 1: ¾  x 5
Example 2: ½ x 8
6. Express tenths, hundredths and thousandths in decimal form
Example 1: 0.2 =
Example 2: 456/1000 =

Strand

Decimals and Percentages

1. Develop an understanding of simple percentages and relate to fractions and decimals
Example 1: 90% =  fraction = decimal
Example 2:  25% = fraction = decimal
2.

Compare and order fractions and decimals
Order diagrammatically or on number line
Example 1: .3, .26, .09 (begin with the smallest)
Example 2: ¼, 3/5, 2/3 (begin with biggest)

3.

Solve problems involving operations with whole numbers, fractions, decimals and simple percentages.
Use diagrams; estimate and compute answers with a calculator
Example 1: Sean had £3.85. He spent ¼ of it. How much had he left?
Example 2: Paul had £4.20. He spent 15% of it. How much did he spend?

Strand Unit

Number Theory

1. Identify simple prime and composite numbers.
A prime number is a number greater than 1 with only 2 divisors, itself and 1.
Use Sieve of Eratosthenes to identify prime numbers
Example 1: Pick out prime numbers in this set:  3, 6, 9, 11, 15.
Example 2: Pick out composite numbers in this set: 5, 8, 12, 14.
2. Investigate relationship between odd and even numbers.
0dd + 0dd = ?    Even + Even = ? Odd + Even = ?
3. Identify square and rectangular numbers
Construct diagrams on geo-boards, peg-boards and squared paper to illustrate square and rectangular numbers
Explore, compare and record these numbers
4. Identify factors and multiples
Example 1: List the multiples of 10
Example 2: List the factors of 39

Strand Unit

Algebra

Directed Numbers

1. Identify positive and negative numbers in context
Discuss the idea of owing money, below par in golf, temperature, sea level
Refer to positive numbers as positive 7 and negative numbers as negative 8 etc
Record numbers with signs - +2 , - 4 etc
Rewind a video tape

Strand Unit

Rules and Properties

1. Explore and discuss simple properties and rules about brackets and priority of operation
Example 1: 10 + (4 +4) =
Example 2: (3 x 4) + 5 =
Example 3: 4 + 3  x 5 =
Example 4: 96 – 8 –12 =
2. Identify relationships and record verbal and simple symbolic rules for number patterns.
Example 1: 2.0, 3.5, 5.0, 6.5, _, __ 
Example 2: 81, 27, 9, _ , _

Strand Unit

Equations

1. Translate number sentences with a frame into a word problem and vice versa
Example 1: How many teams of 4 can be made from a class of 28 children? 28 – 4 =
2. Solve one step number sentences and equations
Example 1: 75 – 43 =
Example 2: 3.5 x ______ = 14
Example 3: 25% of ____ = 15.

Shape and Space

Strand Unit

2 D Shapes

1. Name, explore and compare a wide variety of three and four side figures in terms of size and number of angles, type and number of sides (Trapezium, scalene triangle and regular hexagon).
2. Identify the properties of the circle. Examine area of circle by counting square units.
3. Construct a circle of given radius or diameter
4. Tessellate combinations of 2D shapes
5. Classify shapes according to their lines of symmetry
6. Use 2D shapes and properties to solve problems
Make a specified shape with Tangram shapes

Strand Unit

3 D Shapes

1. Identify and examine 3D shapes
  • Compare and record number of faces of 3D shapes
  • Identify number of edges and vertices of 3D shapes
  • Name the shape of faces
  • Deconstruct 3D shapes into nets
  • Draw the nets of 3D shapes
  • Construct 3D shapes from nets

Strand Unit

Lines and Angles

1. Recognise, classify and describe angles and relate angles to shape and the environment
2. Measure and record angles as acute, reflex or right angles and determine the number of such angles in relation to common regular shapes
3. Recognise angles in terms of rotation
4. Examine, measure and record the angles formed by the hands of a clock at a variety of different times
5. Estimate, measure and construct angles in degrees
6. Explore the sum of angles in a triangle

Strand Unit

Measures

Length

1. Select and use appropriate instruments of measurement
2. Estimate and measure length using appropriate metric units
3. Estimate and measure the perimeter of regular and irregular shapes

Area

1. Discover the area of a rectangle is length by breadth
2. Estimate and measure the area of regular and irregular 2D shapes
3. Calculate area using square centimetres and metres
  • Find area of square of side 9 cm
  • Find area of rectangle of length 9 cm and width 5 cm
4. Compare visually square metres and square centimetres

Strand Unit

Weight

1. Select and use appropriate instruments of measurement
2. Estimate and measure weight using appropriate metric units

Strand Unit

Capacity

1. Select and use appropriate instruments of measurement
2. Estimate and measure capacity using appropriate metric units

Strand Unit

Time

1. Read and interpret timetables and 24 clock (digital and analogue)
2. Interpret and convert between times in 12 hour and 24 hour format
  • 10.30  p.m. = ?
  • 07.50  =

Strand Unit

Money

1. Compare value for money using unitary method
Example: Which is better value for money?  6 apples for 72 cent  or 4 apples for 40 cent ?

Strand Unit

Data

1. Collect, organise and represent data using pictograms, single and multiple bar charts and simple pie charts
2. Read and interpret pictograms, single and multiple bar charts and pie charts
3. Compare and use simple data sets
  • Personal data such as heights, ages, sports results
4. Explore and calculate averages of simple data sets
5. Use data sets to solve problems

Strand Unit

Chance

1. Identify and list all possible outcomes of simple random processes
2. Estimate the likelihood of occurrence of events
3. Construct and use frequency charts and tables

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